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A machine in a factory uses between 150 and 220 kilowatt-hours of elec

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A machine in a factory uses between 150 and 220 kilowatt-hours of elec [#permalink]

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New post 16 Oct 2016, 11:03
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A machine in a factory uses between 150 and 220 kilowatt-hours of electricity, inclusive, to produce two widgets.What is the maximum number of widgets the machine could produce using 3,450 kilowatt-hours of electricity?

a) 46
b) 30
c) 23
d) 16
e) 15

Please assist with above problem.
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Re: A machine in a factory uses between 150 and 220 kilowatt-hours of elec [#permalink]

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New post 16 Oct 2016, 11:10
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In order to maximize the widgets the machine should use least amount of electricity to produce widgets. So it should use 150 KWH per 2 widgets.

Using 150 it produces 2 widgets.

Using 3450 it would produce = 2*3450/150 = 46 Widgets.

A

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A machine in a factory uses between 150 and 220 kilowatt-hours of elec [#permalink]

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New post 16 Oct 2016, 11:27
alanforde800Maximus wrote:
A machine in a factory uses between 150 and 220 kilowatt-hours of electricity, inclusive, to produce two widgets.What is the maximum number of widgets the machine could produce using 3,450 kilowatt-hours of electricity?

a) 46
b) 30
c) 23
d) 16
e) 15

Please assist with above problem.


THIS IS NO WAY A 700 LEVEL QUESTION

For a feel of 700 level questions visit this link : 150-hardest-and-easiest-questions-for-ps-204134.html#p1564175

Coming to the question

Maximum number machines required to produce 2 widgets ( Consuming least power) = \(2*\frac{3450}{150} = 46\)

Hence answer will be (A) 46

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Re: A machine in a factory uses between 150 and 220 kilowatt-hours of elec [#permalink]

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New post 25 Jan 2018, 14:02
Hi All,

We're given a 'range' of electricity that is needed to produce 2 widgets. To MAXIMIZE the number of widgets that could be produced using a fixed amount of electricity, we would need to consider the smallest amount of electricity from that range.

If we could produce 2 widgets with just 150 kw-hrs of electricity... then with 3450 kw-hours, we could produce...

3450/150 =
345/15 =
69/3 =
23 pairs of widgets = (23)(2) = 46 widgets

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Re: A machine in a factory uses between 150 and 220 kilowatt-hours of elec   [#permalink] 25 Jan 2018, 14:02
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A machine in a factory uses between 150 and 220 kilowatt-hours of elec

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